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Topology of the set of asymptotically stable minimal systems

Topology of the set of asymptotically stable minimal systems
Topology of the set of asymptotically stable minimal systems

It is shown that the set of asymptotically stable and minimal single-input-single-output systems of order n has (n+1) connected components. In the case of asymptotically stable and minimal multiple-input-multiple-output systems, however, there is only one connected component.

0020-7179
263-280
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Ober, Raimund J. (1987) Topology of the set of asymptotically stable minimal systems. International Journal of Control, 46 (1), 263-280. (doi:10.1080/00207178708933897).

Record type: Article

Abstract

It is shown that the set of asymptotically stable and minimal single-input-single-output systems of order n has (n+1) connected components. In the case of asymptotically stable and minimal multiple-input-multiple-output systems, however, there is only one connected component.

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Published date: 1987

Identifiers

Local EPrints ID: 424990
URI: https://eprints.soton.ac.uk/id/eprint/424990
ISSN: 0020-7179
PURE UUID: 28224c93-083c-4059-a33f-05f3ae119171
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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Date deposited: 09 Oct 2018 16:30
Last modified: 14 Mar 2019 01:21

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